Double number lines

Category Details
Module Number Lines
Teaching Hours 3 X 40 minutes
Grade Level/Age Range Grades 5-6 (10-12 years old)
Brief Description The module engages students with double number lines. Students engage in identifying and representing the rule of corresponding number lines verbally and symbolically.
Design Principles
Inquiry
Situatedness
Digital tools
Embodiment
  • Meaningful: Build on students’ intuitive knowledge and daily life experiences with real-life scenarios
  • Embodiment: Perceptual-motor (action-perception) experiences with noticing the correspondence between the two number-lines, grounding the understanding of the relation between the involved quantities with concrete actions
  • Inquiry based learning: explore qualitative and quantitative relations (additive, multiplicative, linear)
  • Digital: tablet devices equipped with appropriate apps
  • Didactical phenomenology / situatedness: the correspondence of values from data sets (left and right number lines) is recorded, tabularized and mathematized
Functional Thinking
Input – Output
Covariation
Correspondence
Object
Learning Goals
- Conceptualize arithmetic operations as functions in an implicit way
- Conceptualize functions as a correspondence relation between the values in the two number lines
- Notice, generalize and express additive, multiplicative and linear relations
- Use functional expressions to model real-life scenarios

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